Math 116, Fall 2009
- Faculty: David Harbater
harbater AT math.upenn.edu
- Telephone: (215) 898-9594; Department office: (215) 898-8178
- Office: DRL 4E2A; Department office: DRL 4W1-6.
- Office hours: Mondays 2-3, from Sept. 14 through Nov. 30.
Special office hours Fri., Dec. 4, 1:30-2:30pm; Fri., Dec. 18, 11am-noon;
Mon., Dec. 21, 2-3pm. Special review session
Thurs., Dec. 17, 2-3:30pm, DRL A4.
- Teaching Assistant: Charles Siegel, DRL
4N31, (215) 898-7621; office hours Tues. 1-2pm, Thurs. 3-4pm, and Fri.
9-10am, until Dec. 8. Special office hours Tues. 12-3 and Thurs. 12-3
from Dec. 10 until Dec. 17.
- Lectures: MWF 11am-noon, DRL A5, starting Sept. 9.
- Recitations: T 8:30-9:30am (rec. 201) and T
9:30-10:30am (rec. 202), both in DRL 2C6 (note change of room).
Each student is
in one of these two recitations.
- Textbook: Tom Apostol, Calculus, volume I, second edition. On
reserve at MPA library, DRL 3N1.
- Homework: Weekly problem sets, to be submitted in class on
Fridays, starting Sept. 18.
- Exams: Two exams in class: Mon., Oct 5 and Mon., Nov. 9.
Frequent quizzes in recitation. Final exam after the last day of class
(Tues., Dec. 22, 9-11am, DRL A4).
Sample Exam 1.
Sample Exam 2.
Sample Final Exam.
Note: During exams, no computers, calculators, notes or other aids can be
except for a single two-sided handwritten 5"x7" index card.
Description of course:
This is an honors version of Math 114. It will cover the material in greater depth than that course, with more challenging problems and more attention to definitions and to the reasons behind the results. Like Math 114, the course assumes familiarity with the material in Math 103 and
Math 104. Math 116 is followed by Math 260, an honors version of
Math 240. The precise sequence of topics within each semester will differ somewhat between the Math 114-240 sequence and the Math 116-260 sequence; but over the course of the two semesters, the honors sequence will cover the usual material and more. Students who wish to take further mathematics courses beyond Math 116 and 260 will be prepared to take either of two sequences in analysis/advanced calculus (Math 360-361 or Math 508-509), and either of two sequences in abstract and linear algebra (Math 370-371 or Math 502-503).
Contents of course:
- Foundations of
calculus: rigorous review of the real and complex numbers, limits and
continuity, differentiation and integration.
- Vector algebra and
- Calculus of vector-valued
- Ordinary differential equations.
- Linear algebra: linear
spaces, inner product spaces, linear transformations and matrices.
The grades will be based on several components:
- Two in-class exams: 15% each
- Quizzes and recitation participation: 15% total
- Homework and class participation: 25% total (lowest homework dropped)
- Final exam: 30%
- Individual grades can be found on Blackboard.
assignments for Math 116
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